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3\left(2-x\right)-18=2x-\left(2x+3\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
6-3x-18=2x-\left(2x+3\right)
Use the distributive property to multiply 3 by 2-x.
-12-3x=2x-\left(2x+3\right)
Subtract 18 from 6 to get -12.
-12-3x=2x-2x-3
To find the opposite of 2x+3, find the opposite of each term.
-12-3x=-3
Combine 2x and -2x to get 0.
-3x=-3+12
Add 12 to both sides.
-3x=9
Add -3 and 12 to get 9.
x=\frac{9}{-3}
Divide both sides by -3.
x=-3
Divide 9 by -3 to get -3.